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Simplifying (8x + 5x + -9) + -1(3x + -6x + -2) = 0 Reorder the terms: (-9 + 8x + 5x) + -1(3x + -6x + -2) = 0 Combine like terms: 8x + 5x = 13x (-9 + 13x) + -1(3x + -6x + -2) = 0 Remove parenthesis around (-9 + 13x) -9 + 13x + -1(3x + -6x + -2) = 0 Reorder the terms: -9 + 13x + -1(-2 + 3x + -6x) = 0 Combine like terms: 3x + -6x = -3x -9 + 13x + -1(-2 + -3x) = 0 -9 + 13x + (-2 * -1 + -3x * -1) = 0 -9 + 13x + (2 + 3x) = 0 Reorder the terms: -9 + 2 + 13x + 3x = 0 Combine like terms: -9 + 2 = -7 -7 + 13x + 3x = 0 Combine like terms: 13x + 3x = 16x -7 + 16x = 0 Solving -7 + 16x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + 16x = 0 + 7 Combine like terms: -7 + 7 = 0 0 + 16x = 0 + 7 16x = 0 + 7 Combine like terms: 0 + 7 = 7 16x = 7 Divide each side by '16'. x = 0.4375 Simplifying x = 0.4375
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